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Finding the Fourth Proportional to 1,274.70, 1,759.08 and 777.24

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Solution

The fourth proportional to 1,274.70, 1,759.08 and 777.24 is: 1,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.70 : 1,759.08 = 777.24 : x
  2. Step 2: Convert to fraction form
    1,274.70/1,759.08 = 777.24/x
  3. Step 3: Cross multiply
    1,274.70x = 1,759.08 × 777.24
  4. Step 4: Simplify right side
    1,274.70x = 1,367,227.34
  5. Step 5: Solve for x
    x = 1,367,227.34/1,274.70
  6. Step 6: Final answer
    x = 1,072.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.